×

The Eichler-Shimura theorem and its non-Archimedean analogues. (Spanish) Zbl 0751.14015

Math. Contrib. Mem. V. M. Onieva Aleixandre, 27-34 (1991).
[For the entire collection see Zbl 0722.00002.]
This article is a concise and well readable (although written in Spanish!) resumĂ© of work of G. Faltings [Math. Ann. 278, 133-149 (1987; Zbl 0646.14026)] and others on the relation between cusp forms, associated \(p\)-adic Galois representations and Hodge-Tate structures coming from the action of the inertia group at \(p\).

MSC:

14G20 Local ground fields in algebraic geometry
11F11 Holomorphic modular forms of integral weight
14G35 Modular and Shimura varieties
PDFBibTeX XMLCite